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Byju's Answer
Standard IX
Mathematics
Equality of Matrices
Let Δ x=| 2x...
Question
Let
Δ
(
x
)
=
∣
∣ ∣ ∣
∣
2
x
3
−
3
x
2
5
x
+
7
2
4
x
3
−
7
x
3
x
+
2
1
7
x
3
−
8
x
2
x
−
1
3
∣
∣ ∣ ∣
∣
=
a
0
+
a
1
x
+
a
2
x
2
+
a
3
x
3
+
a
4
x
4
Column - I
Column - II
(A)
a
0
equals to
(p) -73
(B)
a
1
3quals to
(q) 46
(C)
a
0
equals to
(r) -43
(D)
a
4
equals to
(s) 161
(t) 0
A
A(t), B(s), C(r), D(p)
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B
A(t), B(s), C(p), D(r)
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Solution
The correct option is
B
A(t), B(s), C(p), D(r)
Δ
(
x
)
=
∣
∣ ∣ ∣
∣
2
x
3
−
3
x
2
5
x
+
7
2
4
x
3
−
7
x
3
x
+
2
1
7
x
3
−
8
x
2
x
−
1
3
∣
∣ ∣ ∣
∣
=
a
0
+
a
1
x
+
a
2
x
2
+
a
3
x
3
+
a
4
x
4
R
3
→
R
3
–
3
R
2
,
R
1
→
R
1
–
2
R
2
=
∣
∣ ∣ ∣
∣
−
6
x
3
−
3
x
2
+
14
x
3
−
x
0
4
x
3
−
7
x
3
x
+
2
1
−
5
x
3
−
8
x
2
+
21
x
−
8
x
−
7
0
∣
∣ ∣ ∣
∣
=
–
1
[
(
6
x
3
+
3
x
2
–
14
x
)
(
8
x
+
7
)
–
(
5
x
3
+
8
x
2
–
21
x
)
(
x
–
3
)
]
By comparing the coefficient method
a
0
=
0
,
a
1
=
161
,
a
3
=
–
73
,
a
4
=
–
43
,
a
2
=
46
Suggest Corrections
4
Similar questions
Q.
f
(
x
)
=
a
0
+
a
1
x
+
a
2
x
2
+
a
3
x
3
+
a
4
x
4
+
a
5
x
5
.
If
f
(
x
)
satisfies
lim
x
→
0
[
1
+
f
(
x
)
x
2
]
1
/
x
=
e
3
, then which of the following is correct?
Q.
If
(
3
x
−
1
)
4
=
a
4
x
4
+
a
3
x
3
+
a
2
x
2
+
a
1
x
+
a
0
, then find the value of
a
4
+
3
a
3
+
9
a
2
+
27
a
1
+
81
a
0
Q.
A polynomial
f
(
x
)
−
a
4
x
4
+
a
3
x
3
+
a
2
x
2
+
a
1
x
−
a
0
with all coefficients positive has
Q.
If
(
1
+
x
)
10
=
a
0
+
a
1
x
+
a
2
x
2
+
.
.
.
+
a
10
x
10
, then
(
a
0
−
a
2
+
a
4
−
a
6
+
a
8
−
a
10
)
2
+
(
a
1
−
a
3
+
a
5
−
a
7
+
a
9
)
2
is equal to
Q.
If
(
1
−
x
+
x
2
)
n
=
a
0
+
a
1
x
+
a
2
x
2
+
.
.
.
.
+
a
2
n
x
2
n
, then
a
0
+
a
2
+
a
4
+
.
.
.
.
+
a
2
n
is equal to
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